Accurate approximations of the Mathieu series
type: Item
instance of: scholarly article
title: Accurate approximations of the Mathieu series
zbMATH Open document ID: 1217.33014
author: Cristinel Mortici
published in: Mathematical and Computer Modelling
publication date: 2011-07-21T00:00:00Z
Mathematics Subject Classification ID: 33C20
zbMATH DE Number: 5929934
zbMATH Keywords: Mathieu series
zbMATH Keywords: approximations
zbMATH Keywords: inequalities
MaRDI profile type: Publication
full work available at URL: j.mcm.2010.10.027
OpenAlex ID: W2010180652
cites work: Über die Reihe \(\sum_{k=1}^\infty\) \({k\over (k^2+c^2)^2}\)
cites work: Das Problem der eingespannten rechteckigen elastischen Platte. I: Die biharmonische Randwertaufgabe für das Rechteck
cites work: Mathieu series and associated sums involving the zeta functions
cites work: Mercerian theorems involving Cesaro means of positive order
cites work: Über eine Abschätzung von Mathieu
cites work: Q3240326
cites work: Q3245379
cites work: On Mathieu's inequality
cites work: Asymptotic expansion and continued fraction for Mathieu's series
cites work: Some new bounds for Mathieu's series
cites work: Notes on double inequalities of Mathieu's series
cites work: Q5482797
DOI: 10.1016/J.MCM.2010.10.027
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description: scientific article; zbMATH DE number 5929934